Long-wavelength properties of phase-field-crystal models with second-order dynamics

V. Heinonen, C. V. Achim, and T. Ala-Nissila
Phys. Rev. E 93, 053003 – Published 9 May 2016

Abstract

The phase-field-crystal (PFC) approach extends the notion of phase-field models by describing the topology of the microscopic structure of a crystalline material. One of the consequences is that local variation of the interatomic distance creates an elastic excitation. The dynamics of these excitations poses a challenge: pure diffusive dynamics cannot describe relaxation of elastic stresses that happen through phonon emission. To this end, several different models with fast dynamics have been proposed. In this article we use the amplitude expansion of the PFC model to compare the recently proposed hydrodynamic PFC amplitude model with two simpler models with fast dynamics. We compare these different models analytically and numerically. The results suggest that in order to have proper relaxation of elastic excitations, the full hydrodynamical description of the PFC amplitudes is required.

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  • Received 10 March 2016

DOI:https://doi.org/10.1103/PhysRevE.93.053003

©2016 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
  1. Physical Systems
General Physics

Authors & Affiliations

V. Heinonen1,*, C. V. Achim1, and T. Ala-Nissila1,2

  • 1COMP Centre of Excellence, Department of Applied Physics, Aalto University, School of Science, P.O. Box 11100, FI-00076, Aalto, Finland
  • 2Department of Physics, Brown University, Providence, Rhode Island 02912-1843, USA

  • *vili.heinonen@aalto.fi

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Issue

Vol. 93, Iss. 5 — May 2016

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